Free Practice Question

PS · Problem Solving

655-705

Exponents/Powers

Let X and Y be integers such that $X^{Y}$ = 81. How many distinct integer values can X take?

Answer Choices

Correct answer marked below

A

1

B

2

C

3

D

4

5

Correct

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Explanation

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Official Explanation

Official

-9, -3, 3, 9, 81. The correct answer is E.

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V

VanshikaJan 24, 2025

can you explain more?

D

DEBRUPJan 4, 2025

can you explain more?

N

NoahMar 30, 2025

thanks for the answer

What this question tests

What it tests

Your grasp of exponent rules — multiplying and dividing powers, power-of-a-power, and negative/zero exponents.

Common trap

Adding exponents when multiplying bases that have the same exponent, or confusing (x^a)^b with x^(a·b).

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Let X and Y be integers such that XYX^{Y}XY = 81. How many distinct integer values can X take?